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Finding the Third Proportional to 26,195 and 38,923

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Solution

The third proportional to 26,195 and 38,923 is: 57,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,195 : 38,923 = 38,923 : x
  2. Step 2: Convert to fraction form
    26,195/38,923 = 38,923/x
  3. Step 3: Cross multiply
    26,195x = 38,923 × 38,923
  4. Step 4: Simplify right side
    26,195x = 1,514,999,929
  5. Step 5: Solve for x
    x = 1,514,999,929/26,195
  6. Step 6: Final answer
    x = 57,835.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.